Solve the system. x+y=3 2x+2y=6 (4,-1) (-3,-1) (-2,-1) (1,2) (2,1) (-2,-2) No solution (-1,-2) Infinitely many solutions (3,0) Explain your choice of method.

To solve the system of equations, we can use the elimination method.Given the system of equations: Step 1: Multiply the first equation by 2 to make the coefficients of in both equations equal. Step 2: Subtract the second equation from the first equation to eliminate . Since the resulting equation is true for all values of and , it means that the two equations are dependent and represent the same line. Therefore, there are infinitely many solutions to the system of equations.The correct choice is "Infinitely many solutions."